with_o the_o regiment_n of_o the_o sun_n and_o of_o the_o star_n the_o rule_n of_o the_o moon_n and_o of_o the_o tide_n the_o declaration_n of_o the_o sea-chart_n and_o other_o thing_n appertain_v hereunto_o chap._n i._n the_o definition_n of_o the_o sphere_n a_o sphere_n be_v a_o solid_a or_o massy_a body_n without_o hollowness_n and_o perfect_o round_a in_o the_o midst_n whereof_o there_o be_v a_o prick_n call_v the_o centre_n by_o which_o there_o pass_v a_o right_a line_n name_v the_o axtree_n and_o the_o point_n where_o this_o line_n end_v upon_o the_o superficies_n of_o the_o whole_a body_n be_v call_v pole_n because_o upon_o they_o the_o sphere_n be_v move_v chap._n ii_o that_o the_o whole_a world_n be_v a_o sphere_n and_o so_o it_o be_v evident_a that_o the_o whole_a frame_n of_o the_o world_n wherein_o we_o live_v be_v a_o sphere_n be_v as_o it_o be_v solid_a so_o that_o in_o the_o whole_a world_n there_o be_v no_o empty_a place_n also_o it_o be_v perfect_o round_a upon_o the_o upper_a superficies_n of_o the_o high_a heaven_n and_o it_o have_v in_o the_o very_a midst_n a_o certain_a point_n to_o wit_n the_o centre_n of_o the_o earth_n by_o which_o we_o do_v imagine_v a_o right_a line_n or_o axtree_n to_o pass_v from_o one_o pole_n to_o another_o upon_o which_o the_o world_n be_v move_v about_o from_o east_n to_o west_n chap._n iii_o of_o the_o division_n of_o the_o sphere_n the_o whole_a sphere_n of_o the_o world_n be_v divide_v into_o two_o part_n or_o region_n the_o elementary_a and_o celestial_a the_o elementary_a part_n or_o region_n have_v four_o part_n the_o first_o whereof_o be_v the_o earth_n which_o together_o with_o the_o element_n of_o water_n which_o be_v the_o second_o make_v one_o perfect_a globe_n and_o round_o about_o both_o these_o be_v two_o other_o element_n namely_o the_o air_n and_o above_o that_o the_o fire_n which_o fill_v the_o space_n between_o the_o air_n and_o the_o sphere_n of_o the_o moon_n of_o which_o element_n by_o virtue_n of_o the_o heat_n of_o the_o heaven_n be_v make_v and_o compound_v all_o corruptible_a thing_n in_o the_o world_n the_o celestial_a region_n consist_v of_o other_o ten_o part_n the_o first_o whereof_o be_v the_o sphere_n of_o the_o moon_n the_o second_o the_o sphere_n of_o mercury_n the_o three_o of_o venus_n the_o four_o be_v the_o sphere_n of_o the_o sun_n the_o five_o of_o mars_n the_o six_o of_o jupiter_n the_o seven_o of_o saturn_n the_o eight_o be_v the_o sphere_n of_o the_o fix_a star_n which_o be_v call_v the_o firmament_n the_o nine_o be_v the_o crystalline_a heaven_n and_o last_o the_o ten_o and_o high_a be_v the_o sphere_n call_v the_o primum_fw-la mobile_a that_o be_v the_o first_o or_o high_a movable_a heaven_n that_o which_o remain_v call_v the_o empyreal_a heaven_n because_o it_o have_v no_o motion_n come_v not_o to_o be_v consider_v on_o in_o the_o art_n of_o navigation_n a_o figure_n wherein_o may_v be_v see_v the_o composition_n of_o the_o whole_a sphere_n of_o the_o world_n chap._n iu._n of_o the_o motion_n of_o the_o heaven_n the_o number_n of_o the_o heaven_n be_v know_v by_o the_o motion_n observe_v in_o they_o which_o be_v ten_o distinct_a one_o from_o another_o for_o the_o moon_n move_v her_o proper_a and_o peculiar_a motion_n in_o 27_o day_n and_o 8_o hour_n which_o be_v one_o revolution_n mercury_n venus_n and_o the_o sun_n finish_v their_o motion_n in_o one_o year_n which_o contain_v 365_o day_n and_o almost_o a_o quarter_n of_o a_o day_n mars_n run_v his_o course_n in_o two_o year_n jupiter_n in_o twelve_o year_n saturn_n in_o thirty_o year_n the_o eight_o sphere_n according_a to_o the_o opinion_n of_o some_o in_o seven_o thousand_o year_n the_o nine_o in_o five_o and_o twenty_o thousand_o and_o eight_o hundred_o year_n and_o the_o ten_o in_o four_o and_o twenty_o hour_n almost_o which_o ten_o motion_n be_v reduce_v unto_o three_o principal_a the_o first_o be_v that_o of_o the_o first_o movable_a upon_o the_o two_o end_n of_o the_o axletree_n which_o be_v call_v the_o pole_n of_o the_o world_n from_o east_n to_o west_n turn_v about_o again_o unto_o the_o east_n in_o 24_o hour_n and_o this_o sphere_n by_o the_o force_n of_o his_o motion_n carry_v about_o with_o it_o all_o the_o other_o low_a sphere_n in_o the_o space_n of_o 24_o hour_n howbeit_o they_o move_v also_o the_o contrary_a way_n with_o a_o second_o motion_n which_o be_v from_o west_n to_o east_n upon_o two_o other_o pole_n distant_a from_o the_o first_o about_o three_o and_o twenty_o and_o a_o half_a such_o part_n whereof_o the_o whole_a compass_n of_o heaven_n contain_v three_o hundred_o and_o sixty_o and_o this_o second_o motion_n be_v accomplish_v in_o each_o of_o the_o low_a heaven_n in_o divers_a space_n of_o time_n as_o be_v before_o say_v the_o three_o motion_n be_v proper_a to_o the_o eight_o heaven_n wherein_o the_o fix_a star_n be_v place_v which_o motion_n be_v the_o cause_n that_o the_o distance_n of_o the_o pole_n of_o the_o first_o motion_n from_o they_o of_o the_o second_o motion_n do_v vary_v be_v sometime_o great_a and_o sometime_o less_o chap._n v._o of_o the_o figure_n of_o the_o heaven_n that_o the_o heaven_n be_v round_o it_o be_v prove_v because_o roundness_n be_v the_o most_o perfect_a figure_n of_o all_o other_o be_v whole_a and_o entire_a have_v no_o need_n of_o any_o joint_n be_v also_o of_o the_o great_a capacity_n of_o all_o figure_n that_o have_v the_o same_o compass_n and_o in_o that_o respect_n most_o fit_a to_o contain_v all_o other_o thing_n also_o the_o principal_a body_n of_o the_o world_n as_o the_o sun_n the_o moon_n and_o the_o star_n be_v of_o this_o figure_n and_o we_o see_v the_o same_o likewise_o in_o those_o thing_n which_o be_v bound_v by_o themselves_o as_o it_o be_v manifest_a in_o drop_n of_o water_n and_o all_o other_o liquid_a thing_n chap._n vi_o that_o the_o earth_n and_o water_n make_v one_o perfect_a globe_n there_o be_v nothing_o that_o show_v more_o clear_o that_o the_o earth_n and_o water_n make_v one_o round_a globe_n than_o the_o shadow_n which_o they_o make_v in_o the_o eclipse_n of_o the_o moon_n which_o shadow_n we_o always_o see_v to_o be_v a_o part_n of_o a_o circle_n for_o if_o the_o body_n which_o be_v the_o cause_n of_o the_o same_o shadow_n be_v threesquare_a or_o foursquare_a the_o shadow_n itself_o also_o will_v appear_v in_o the_o same_o fashion_n wherefore_o the_o shadow_n of_o these_o two_o body_n together_o be_v round_o it_o be_v manifest_a that_o they_o be_v round_o also_o chap._n vii_o that_o the_o earth_n be_v in_o the_o centre_n of_o the_o world_n one_o sign_n we_o have_v to_o be_v assure_v that_o the_o earth_n be_v in_o the_o midst_n and_o centre_n of_o the_o world_n namely_o that_o wheresoever_o we_o be_v upon_o the_o face_n of_o the_o earth_n we_o always_o see_v one_o half_a of_o the_o heaven_n the_o other_o half_o be_v hide_v out_o of_o our_o sight_n moreover_o the_o star_n in_o what_o part_n of_o the_o heaven_n soever_o they_o be_v either_o in_o the_o east_n west_n or_o south_n we_o see_v that_o they_o be_v always_o of_o the_o very_a same_o bigness_n whereby_o we_o may_v easy_o perceive_v that_o they_o be_v always_o equal_o distant_a from_o our_o sight_n and_o whereas_o they_o move_v round_o about_o it_o it_o follow_v that_o we_o be_v upon_o the_o centre_n of_o that_o body_n on_o who_o superficies_n the_o say_a star_n describe_v their_o circle_n chap._n viii_o the_o whole_a quantity_n of_o the_o earth_n and_o albeit_o the_o globe_n of_o the_o earth_n and_o water_n compare_v with_o the_o sphere_n of_o the_o star_n be_v as_o it_o be_v a_o centre_n or_o prick_n yet_o be_v consider_v by_o itself_o it_o contain_v in_o the_o great_a circle_n thereof_o 6300_o common_a spanish_a league_n which_o a_o man_n may_v easy_o perceive_v by_o take_v two_o such_o point_n or_o headland_n of_o the_o earth_n as_o be_v under_o the_o same_o meridian_n and_o which_o differ_v in_o distance_n one_o from_o another_o so_o much_o as_o one_o of_o those_o part_n be_v whereof_o the_o compass_n of_o the_o whole_a world_n contain_v 360_o and_o it_o be_v find_v both_o by_o navigation_n at_o sea_n and_o also_o by_o travel_n on_o land_n that_o the_o two_o foresay_a point_n be_v distant_a each_o from_o other_o 17_o league_n and_o a_o half_a of_o which_o league_n each_o one_o contain_v 4000_o pace_n every_o pace_n 5_o foot_n every_o foot_n 16_o finger_n and_o every_o finger_n 4_o grain_n of_o barley_n chap._n ix_o of_o the_o equinoctial_a circle_n be_v to_o treat_v of_o the_o circle_n of_o the_o sphere_n of_o the_o world_n the_o first_o which_o offer_v itself_o to_o be_v speak_v of_o be_v the_o equinoctial_a circle_n by_o mean_n whereof_o we_o do_v know_v in_o
24_o 47_o 69_o 17_o 77_o 86_o 48_o 18_o 34_o 0_o 48_o 70_o 9_o 78_o 87_o 8_o 19_o 35_o 36_o 49_o 70_o 59_o 79_o 87_o 26_o 20_o 37_o 9_o 50_o 71_o 48_o â—0_n 87_o 44_o 21_o 38_o 41_o 51_o 72_o 36_o 81_o 88_o 1_o 22_o 40_o 11_o 52_o 73_o 23_o 82_o 88_o 17_o 23_o 41_o 39_o 53_o 74_o 8_o 83_o 88_o 33_o 24_o 43_o 6_o 54_o 74_o 52_o 84_o 88_o 47_o 25_o 44_o 30_o 55_o 75_o 35_o 85_o 89_o 1_o 26_o 45_o 54_o 56_o 76_o 17_o 86_o 89_o 14_o 27_o 47_o 15_o 57_o 76_o 57_o 87_o 89_o 27_o 28_o 48_o 36_o 58_o 77_o 37_o 88_o 89_o 39_o 29_o 49_o 54_o 59_o 78_o 15_o 89_o 89_o 50_o 30_o 51_o 11_o 60_o 78_o 53_o 90_o 90_o 0_o who_o compliment_n to_o a_o quadrant_a be_v the_o angle_n seek_v for_o arz_n according_a to_o this_o diagram_n and_o demonstration_n be_v calculate_v the_o table_n here_o follow_v the_o first_o column_n whereof_o contain_v the_o height_n of_o the_o pole_n for_o every_o whole_a degree_n the_o second_o column_n show_v the_o inclination_n or_o dip_v of_o the_o magnetical_a needle_n answerable_a thereto_o in_o degree_n and_o minute_n chap._n xv._n error_n in_o use_v the_o crosse-staffe_n and_o how_o they_o may_v be_v avoid_v after_o the_o chart_n and_o compass_n the_o crosse-staffe_n may_v with_o good_a reason_n succeed_v as_o in_o the_o use_n whereof_o more_o error_n be_v commit_v then_o in_o any_o other_o instrument_n of_o navigation_n the_o two_o former_a except_v and_o that_o four_o several_a way_n first_o in_o neglect_v the_o paralax_n or_o eccentricitie_n of_o the_o eye_n second_o in_o not_o consider_v the_o height_n of_o the_o eye_n above_o the_o water_n three_o and_o four_o in_o not_o regard_v the_o paralax_n and_o refraction_n of_o the_o sun_n for_o the_o first_o they_o count_v the_o height_n of_o the_o sun_n and_o star_n in_o such_o sort_n as_o if_o the_o centre_n of_o the_o eye_n or_o vertex_fw-la of_o the_o visual_a cone_n in_o use_v the_o staff_n be_v even_o with_o the_o end_n thereof_o that_o be_v set_v to_o the_o eye_n therefore_o how_o much_o the_o centre_n of_o the_o sight_n be_v distant_a from_o the_o end_n of_o the_o staff_n so_o much_o be_v they_o deceive_v but_o how_o much_o the_o eccentricitie_n or_o paralax_n of_o the_o eye_n be_v it_o may_v be_v know_v after_o this_o manner_n make_v two_o transversary_n the_o one_o twice_o so_o long_o as_o the_o other_o the_o long_a of_o these_o two_o set_v fast_o at_o the_o further_a end_n of_o the_o index_n the_o other_o of_o they_o move_v up_o or_o down_o upon_o the_o index_n until_o such_o time_n that_o your_o eye_n place_v at_o the_o end_n of_o the_o index_n in_o such_o sort_n as_o you_o use_v to_o place_v it_o when_o you_o observe_v you_o may_v see_v both_o end_n of_o both_o transversary_n lie_v even_o together_o for_o then_o look_v how_o much_o the_o segment_n of_o the_o index_n betwixt_o the_o two_o transversary_n exceed_v the_o segment_n from_o the_o short_a transversarie_n unto_o the_o eye_n so_o much_o be_v the_o parallax_n or_o eccentricitie_n of_o your_o sight_n or_o the_o point_n wherein_o your_o eye_n wherein_o the_o visual_a beam_n concur_v be_v so_o much_o distant_a from_o the_o end_n of_o the_o index_n as_o for_o example_n in_o this_o figure_n let_v the_o transversarie_n hei_fw-la place_v at_o e_o the_o end_n of_o the_o index_n be_v double_a to_o the_o transversarie_n fdg_n which_o be_v place_v in_o such_o sort_n upon_o the_o index_n that_o the_o visual_a line_n afh_o agi_fw-la of_o the_o eye_n place_v at_o the_o end_n of_o the_o index_n do_v pass_v straight_o on_o by_o fh_n and_o give_v the_o end_n of_o the_o transversary_n for_o in_o this_o figure_n a_o be_v the_o centre_n of_o the_o sight_n or_o eye_n wherein_o the_o visual_a line_n afh_o agi_fw-la do_v concur_v b_o represent_v the_o end_n of_o the_o index_n place_v at_o the_o corner_n of_o the_o eye_n and_o then_o ab_fw-la be_v the_o eccentricitie_n c_o signify_v the_o end_n of_o the_o index_n set_v against_o the_o bone_n underneath_o the_o eye_n for_o observe_v of_o distance_n and_o then_o ac_fw-la be_v the_o eccentricitie_n which_o be_v thus_o demonstrate_v second_o they_o increase_v the_o former_a error_n by_o not_o regard_v the_o height_n of_o the_o eye_n above_o the_o water_n which_o although_o it_o be_v not_o so_o great_a a_o fault_n as_o the_o other_o yet_o it_o may_v deceive_v they_o by_o increase_v the_o former_a error_n five_o or_o six_o minute_n or_o more_o in_o a_o tall_a ship_n for_o the_o high_a the_o eye_n be_v above_o the_o water_n the_o great_a be_v the_o angle_n contain_v betwixt_o the_o two_o visual_a line_n whereof_o one_o touch_v the_o convex_a superficies_n of_o the_o sea_n the_o other_o pass_v on_o to_o the_o sun_n or_o star_n and_o the_o low_a the_o eye_n be_v the_o less_o be_v the_o foresay_a angle_n and_o then_o only_o it_o show_v the_o true_a altitude_n when_o the_o centre_n of_o the_o sight_n be_v in_o the_o same_o line_n of_o level_n with_o the_o superficies_n of_o the_o water_n but_o if_o the_o eye_n be_v high_a than_o the_o water_n that_o angle_n be_v great_a than_o the_o true_a altitude_n and_o therefore_o subtraction_n must_v be_v make_v according_o that_o you_o may_v have_v the_o true_a altitude_n now_o to_o find_v how_o much_o it_o be_v that_o shall_v be_v subtract_v at_o any_o height_n of_o the_o eye_n above_o the_o water_n there_o be_v two_o way_n the_o one_o without_o knowledge_n of_o the_o earth_n semidiameter_n the_o other_o with_o knowledge_n of_o the_o same_o for_o the_o first_o you_o must_v have_v some_o such_o convenient_a place_n at_o the_o water_n side_n where_o you_o may_v have_v a_o free_a and_o clear_a prospect_n unto_o the_o sea_n without_o impediment_n and_o where_o you_o may_v also_o have_v such_o provision_n make_v that_o you_o may_v place_v both_o yourself_o and_o also_o a_o exact_a and_o large_a water_n level_v in_o convenient_a manner_n to_o make_v exact_a observation_n at_o what_o height_n soever_o you_o desire_v above_o the_o superficies_n of_o the_o sea_n till_o you_o come_v to_o the_o height_n of_o the_o tall_a ship_n that_o go_v upon_o the_o sea_n that_o level_n have_v the_o sight_n that_o you_o must_v look_v through_o at_o the_o end_n thereof_o next_o the_o eye_n so_o fit_v that_o you_o may_v both_o easy_o and_o steady_o set_v it_o high_o than_o the_o before_o sight_n that_o be_v the_o sight_n that_o be_v at_o the_o fore-end_n of_o the_o level_n so_o much_o as_o shall_v be_v needful_a to_o lay_v the_o foresight_n precise_o to_o the_o touch_v of_o the_o sea_n and_o that_o you_o may_v also_o perfect_o know_v how_o much_o the_o back-sight_n or_o sight_n at_o your_o eye_n be_v high_a than_o the_o foresight_n above_o the_o line_n of_o level_n for_o by_o the_o difference_n of_o the_o height_n of_o those_o sight_n above_o the_o line_n of_o level_n and_o the_o distance_n between_o they_o it_o may_v easy_o be_v find_v how_o much_o the_o visual_a line_n touch_v the_o roundness_n of_o the_o sea_n dip_v under_o the_o line_n of_o level_n or_o true_a horizon_n from_o whence_o the_o height_n of_o the_o sun_n and_o star_n be_v to_o be_v account_v thus_o as_o the_o distance_n betwixt_o the_o sight_n be_v to_o the_o difference_n of_o their_o height_n above_o the_o line_n of_o level_n so_o be_v the_o whole_a sine_fw-la to_o the_o tangent_fw-la of_o the_o angle_n of_o dip_v which_o we_o desire_v to_o know_v this_o angle_n may_v otherwise_o be_v find_v the_o quantity_n of_o the_o earth_n semidiameter_n be_v first_o know_v which_o be_v to_o be_v do_v divers_a way_n but_o they_o may_v be_v all_o reduce_v to_o two_o head_n or_o kind_n whereof_o the_o first_o require_v the_o certain_a measure_n of_o some_o arch_n of_o the_o meridian_n to_o be_v first_o give_v which_o be_v also_o divers_a way_n to_o be_v perform_v but_o the_o best_a and_o perfect_a way_n of_o all_o other_o be_v to_o observe_v so_o axact_o as_o be_v possible_a the_o summer_n solstitial_a altitude_n of_o the_o sun_n at_o two_o place_n semidiameter_n so_o far_o distant_a asunder_o and_o lie_v so_o near_o north_n and_o south_n each_o from_o other_o with_o so_o direct_a and_o fair_a a_o way_n between_o they_o as_o convenient_o may_v be_v choose_v suppose_v for_o example_n portsmouth_n and_o barwick_n or_o some_o other_o place_n in_o the_o further_a part_n of_o scotland_n for_o the_o further_a these_o place_n be_v each_o from_o other_o the_o more_o perfect_o may_v this_o business_n be_v perform_v then_o measure_n and_o plat_v down_o so_o true_o as_o be_v possible_a all_o the_o way_n between_o those_o two_o place_n with_o all_o the_o turn_n and_o wind_n ascent_n and_o descent_n that_o be_v therein_o out_o of_o which_o the_o arch_n of_o the_o great_a circle_n
1_o 19_o 59_o 10_o 5_o 7_o 5_o 1_o 29_o 69_o 10_o 3_o 33_o 24_o 1_o 38_o 79_o 10_o 1_o 52_o 46_o 1_o 43_o 49_o 20_o 6_o 31_o 0_o 1_o 19_o 59_o 20_o 5_o 6_o 2_o 1_o 30_o 69_o 20_o 3_o 31_o 46_o 1_o 38_o 79_o 20_o 1_o 51_o 3_o 1_o 43_o 49_o 30_o 6_o 29_o 40_o 1_o 20_o 59_o 30_o 5_o 4_o 31_o 1_o 31_o 69_o 30_o 3_o 30_o 8_o 1_o 38_o 79_o 30_o 1_o 49_o 21_o 1_o 42_o 49_o 40_o 6_o 28_o 20_o 1_o 20_o 59_o 40_o 5_o 3_o 1_o 1_o 30_o 69_o 40_o 3_o 28_o 9_o 1_o 39_o 79_o 40_o 1_o 47_o 38_o 1_o 43_o 49_o 50_o 6_o 27_o 1_o 1_o 19_o 59_o 50_o 5_o 1_o 31_o 1_o 30_o 69_o 50_o 3_o 26_o 51_o 1_o 38_o 79_o 50_o 1_o 45_o 55_o 1_o 43_o 50_o 0_o 6_o 25_o 40_o 1_o 21_o 60_o 0_o 5_o 0_o 0_o 1_o 31_o 70_o 0_o 3_o 25_o 13_o 1_o 38_o 80_o 0_o 1_o 44_o 11_o 1_o 44_o lati._n 10_o in_o lon_n diffe_n gr_n mi_fw-mi m._n sc_n the_o sec_fw-la the_o 80_o 10_o 1_o 42_o 28_o 1_o 43_o 80_o 20_o 1_o 40_o 45_o 1_o 43_o 80_o 30_o 1_o 39_o 0_o 1_o 43_o 80_o 40_o 1_o 37_o 18_o 1_o 44_o 80_o 50_o 1_o 35_o 35_o 1_o 44_o 81_o 0_o 1_o 33_o 52_o 1_o 43_o 81_o 10_o 1_o 32_o 8_o 1_o 44_o 81_o 20_o 1_o 30_o 25_o 1_o 43_o 81_o 30_o 1_o 28_o 41_o 1_o 44_o 81_o 40_o 1_o 26_o 58_o 1_o 43_o 81_o 50_o 1_o 25_o 14_o 1_o 44_o 82_o 0_o 1_o 23_o 40_o 1_o 44_o 82_o 10_o 1_o 21_o 57_o 1_o 43_o 82_o 20_o 1_o 20_o 3_o 1_o 44_o 82_o 30_o 1_o 18_o 19_o 1_o 44_o 82_o 40_o 1_o 16_o 35_o 1_o 44_o 82_o 50_o 1_o 14_o 51_o 1_o 44_o 83_o 0_o 1_o 13_o 7_o 1_o 44_o 83_o 10_o 1_o 11_o 23_o 1_o 44_o 83_o 20_o 1_o 9_o 39_o 1_o 44_o 83_o 30_o 1_o 7_o 55_o 1_o 44_o 83_o 40_o 1_o 6_o 11_o 1_o 44_o 83_o 50_o 1_o 4_o 27_o 1_o 44_o 84_o 0_o 1_o 2_o 43_o 1_o 44_o 84_o 10_o 1_o 0_o 59_o 1_o 44_o 84_o 20_o 0_o 59_o 15_o 1_o 44_o 84_o 30_o 0_o 57_o 31_o 1_o 44_o 84_o 40_o 0_o 55_o 46_o 1_o 44_o 84_o 50_o 0_o 54_o 2_o 1_o 44_o 85_o 0_o 0_o 52_o 18_o 1_o 44_o 85_o 10_o 0_o 50_o 33_o 1_o 45_o 85_o 20_o 0_o 48_o 49_o 1_o 44_o 85_o 30_o 0_o 47_o 5_o 1_o 45_o 85_o 40_o 0_o 45_o 20_o 1_o 45_o 85_o 50_o 0_o 43_o 36_o 1_o 44_o 86_o 0_o 0_o 41_o 51_o 1_o 45_o 86_o 10_o 0_o 40_o 7_o 1_o 44_o 86_o 20_o 0_o 38_o 22_o 1_o 45_o 86_o 30_o 0_o 36_o 38_o 1_o 44_o 86_o 40_o 0_o 34_o 53_o 1_o 45_o 86_o 50_o 0_o 33_o 9_o 1_o 44_o 87_o 0_o 0_o 31_o 24_o 1_o 45_o 87_o 10_o 0_o 29_o 40_o 1_o 44_o 87_o 20_o 0_o 27_o 55_o 1_o 45_o 87_o 30_o 0_o 26_o 10_o 1_o 45_o 87_o 40_o 0_o 24_o 26_o 1_o 44_o 87_o 50_o 0_o 22_o 41_o 1_o 45_o 88_o 0_o 0_o 20_o 56_o 1_o 45_o 88_o 10_o 0_o 19_o 12_o 1_o 44_o 88_o 20_o 0_o 17_o 27_o 1_o 45_o 88_o 30_o 0_o 15_o 42_o 1_o 45_o 88_o 40_o 0_o 13_o 58_o 1_o 44_o 88_o 50_o 0_o 12_o 13_o 1_o 45_o 89_o 0_o 0_o 10_o 28_o 1_o 45_o 89_o 10_o 0_o 9_o 44_o 1_o 44_o 89_o 20_o 0_o 6_o 59_o 1_o 45_o 89_o 30_o 0_o 5_o 14_o 1_o 45_o 89_o 40_o 0_o 3_o 29_o 1_o 45_o 89_o 50_o 0_o 1_o 45_o 1_o 44_o 90_o 0_o 0_o 0_o 0_o  _fw-fr  _fw-fr this_o table_n of_o the_o eight_o rumb_n show_v the_o quantity_n of_o 10_o minute_n of_o longitude_n at_o every_o 10_o minute_n of_o latitude_n in_o minute_n second_o and_o three_o of_o one_o degree_n of_o the_o equinoctial_a i_o think_v good_a here_o to_o adjoyn_v for_o their_o sake_n that_o may_v peradventure_o be_v desirous_a by_o themselves_o to_o make_v trial_n of_o that_o i_o have_v before_o write_v concern_v the_o gross_a and_o rude_a manner_n of_o examination_n which_o simon_n stevin_n use_v to_o make_v the_o world_n believe_v that_o my_o table_n of_o rumb_n be_v so_o much_o erroneous_a as_o he_o say_v and_o after_o his_o fashion_n will_v seem_v to_o demonstrate_v and_o lest_o any_o shall_v suspect_v that_o this_o table_n also_o may_v be_v as_o faulty_a as_o stevin_n will_v persuade_v we_o the_o other_o be_v i_o have_v think_v good_a here_o to_o show_v the_o way_n how_o i_o make_v the_o same_o that_o if_o any_o list_n take_v so_o much_o pain_n he_o may_v either_o examine_v and_o correct_v this_o if_o need_n shall_v be_v or_o make_v a_o new_a one_o if_o he_o will_v which_o may_v be_v do_v after_o this_o manner_n and_o by_o this_o rule_n what_o proportion_n the_o whole_a sine_fw-la have_v to_o the_o sine_fw-la of_o the_o latitude_n compliment_n the_o same_o proportion_n have_v one_o six_o part_n of_o a_o degree_n of_o the_o equinoctial_a that_o be_v 10_o minute_n which_o make_v 36000_o three_o to_o the_o number_n of_o the_o same_o three_o of_o a_o degree_n of_o the_o equinoctial_a contain_v in_o 10_o minute_n of_o longitude_n at_o the_o same_o latitude_n which_o be_v divide_v by_o 60_o the_o remainder_n shall_v be_v the_o three_o remain_v beside_o minute_n and_o second_n and_o this_o first_o quotient_n be_v again_o divide_v by_o 60_o the_o second_o quotient_n shall_v be_v the_o minute_n and_o the_o remainder_n thereof_o the_o second_o for_o example_n suppose_v you_o will_v find_v the_o quantity_n of_o 10_o minute_n of_o a_o degree_n in_o the_o parallel_n who_o latitude_n be_v 10_o degree_n now_o the_o compliment_n of_o this_o latitude_n be_v 80_o degree_n the_o sine_fw-la whereof_o be_v 9848,078_o the_o whole_a sine_fw-la be_v 10,000,000_o and_o as_o this_o whole_a sine_fw-la be_v to_o the_o sine_fw-la aforesaid_a so_o be_v 36,000_o that_o be_v the_o number_n of_o three_o that_o be_v in_o ten_o minute_n of_o the_o equinoctial_a to_o 35,453_o that_o be_v the_o number_n of_o the_o same_o three_o contain_v in_o ten_o min._n of_o a_o degree_n of_o the_o say_a parallel_n and_o these_o three_o divide_v by_o 60_o give_v in_o the_o quotient_a 590_o sec._n and_o 53_o three_o remain_v and_o 590_o divide_v again_o by_o 90_o the_o quotient_n be_v 9_o m_o and_o the_o remainder_n 50_o sec_fw-la so_o then_o the_o quantity_n of_o ten_o min._n of_o longitude_n at_o ten_o degr_n of_o latitude_n shall_v be_v 9_o min._n 50_o sec._n 53_o three_o of_o one_o degree_n of_o the_o equinoctial_a and_o thus_o be_v make_v the_o whole_a table_n the_o make_n of_o the_o table_n of_o rumb_n now_o by_o help_n of_o this_o table_n of_o the_o eight_o rumb_n the_o precede_a table_n of_o the_o first_o rumb_n next_o the_o meridian_n and_o all_o the_o rest_n may_v thus_o be_v make_v as_o the_o whole_a sine_fw-la be_v to_o the_o tangent_fw-la of_o the_o rumb_n angle_v with_o the_o equinoctial_a so_o be_v one_o minute_n of_o the_o equinoctial_a to_o the_o latitude_n of_o the_o same_o rumb_n for_o one_o minute_n of_o longitude_n and_o so_o be_v a_o minute_n of_o longitude_n find_v out_o by_o this_o table_n of_o the_o eight_o rumb_n at_o that_o latitude_n to_o the_o difference_n of_o latitude_n which_o add_v to_o the_o former_a latitude_n give_v the_o latitude_n of_o the_o same_o rumb_n for_o two_o minute_n of_o longitude_n and_o again_o at_o this_o latitude_n a_o minute_n of_o longitude_n find_v by_o the_o same_o table_n shall_v have_v the_o same_o proportion_n to_o the_o difference_n of_o latitude_n which_o add_v to_o the_o latitude_n of_o the_o same_o rumb_n for_o two_o minute_n of_o longitude_n show_v the_o latitude_n of_o that_o rumb_n for_o three_o minute_n of_o longitude_n and_o after_o this_o manner_n proceed_v in_o all_o the_o rest_n you_o may_v make_v up_o the_o whole_a table_n of_o rumb_n finis_fw-la the_o division_n of_o the_o whole_a art_n of_o navigation_n the_o whole_a art_n of_o navigation_n which_o teach_v we_o to_o sail_v by_o course_n and_o by_o height_n be_v divide_v into_o two_o principal_a part_n the_o theoric_n and_o the_o practic_n the_o theoric_n teach_v the_o composition_n of_o the_o sphere_n of_o the_o world_n in_o general_a and_o in_o particular_a inform_v we_o of_o the_o number_n figure_n and_o motion_n of_o the_o heaven_n especial_o of_o the_o high_a movable_a heaven_n call_v primum_fw-la mobile_n and_o of_o the_o nine_o eight_o four_o and_o first_o heaven_n also_o it_o show_v we_o the_o quantity_n and_o situation_n of_o the_o element_n and_o principal_o of_o the_o earth_n and_o water_n and_o the_o circle_n which_o be_v imagine_v to_o be_v in_o that_o sphere_n without_o the_o knowledge_n of_o which_o it_o be_v impossible_a to_o be_v a_o navigator_n the_o practic_n part_n teach_v the_o make_n and_o use_n of_o those_o instrument_n which_o be_v use_v in_o navigation_n as_o namely_o the_o astrolabe_n the_o crosse-staffe_n the_o sea-compasse_n and_o the_o dial_n
mile_n from_o cape_n das_fw-la aguillas_fw-la as_o it_o appear_v by_o the_o table_n of_o variation_n which_o place_n be_v in_o the_o longitude_n of_o 60_o degree_n and_o in_o the_o midst_n betwixt_o both_o at_o 30_o degr_n as_o in_o the_o north_n part_n again_o there_o be_v the_o great_a northea_n of_o which_o place_n there_o be_v this_o mention_n make_v in_o the_o table_n or_o view_n of_o variation_n towards_o the_o northwest_o northerly_a from_o the_o land_n of_o tristan_n de_fw-fr cuncha_n where_o the_o variation_n be_v 19_o degree_n out_o of_o these_o we_o may_v conclude_v that_o the_o magnetical_a needle_n do_v point_n due_a north_n in_o every_o place_n situate_a in_o two_o meridian_n half_a circle_n draw_v from_o the_o one_o pole_n to_o the_o other_o by_o corvo_n and_o helmshudâ—_n and_o that_o the_o great_a northea_n be_v in_o all_o place_n situate_v in_o the_o meridian_n semicircle_n draw_v by_o that_o place_n which_o we_o say_v be_v distant_a one_o mile_n from_o plymouth_n towards_o the_o east_n so_o as_o that_o part_n of_o the_o earth_n which_o be_v contain_v between_o two_o meridian_n semicircle_n distant_a each_o from_o other_o 60_o degree_n in_o longitude_n be_v the_o space_n wherein_o the_o magnetical_a needle_n always_o decline_v from_o the_o north_n towards_o the_o east_n and_o the_o half_a of_o that_o part_n that_o be_v that_o portion_n of_o the_o earth_n which_o be_v include_v between_o two_o meridian_n semicircle_n the_o first_o of_o which_o be_v draw_v by_o the_o beginning_n the_o other_o by_o the_o 30_o degr_n of_o longitude_n be_v every_o where_o the_o place_n of_o the_o northea_n increase_a but_o the_o other_o half_o be_v the_o place_n of_o the_o northea_n decrease_a to_o wit_n when_o one_o go_v from_o the_o west_n eastward_o follow_v the_o order_n of_o the_o degree_n of_o longitude_n by_o this_o that_o have_v be_v speak_v of_o the_o first_o segment_n with_o the_o northea_n and_o his_o part_n in_o one_o of_o which_o part_v the_o northea_n be_v increase_v in_o the_o other_o decrease_v it_o may_v easy_o be_v understand_v what_o the_o manner_n of_o the_o second_o segment_n be_v with_o the_o northwe_n and_o what_o be_v the_o manner_n of_o the_o part_n thereof_o whereof_o one_o be_v the_o part_n of_o the_o northwe_n increase_a the_o other_o be_v the_o part_n of_o the_o northwe_n decrease_a for_o in_o the_o mouth_n of_o the_o river_n cantan_n in_o china_n at_o the_o longitude_n of_o 160_o degree_n distant_a from_o corvo_n the_o needle_n point_v due_a north_n the_o three_o time_n there_o therefore_o draw_v the_o three_o meridian_n semicircle_n the_o portion_n of_o the_o earth_n between_o the_o foresay_a second_o meridian_n semicircle_n and_o this_o three_o distant_a each_n from_o other_o 100_o degree_n in_o longitude_n shall_v be_v the_o space_n wherein_o the_o magnetical_a needle_n decline_v from_o the_o north_n towards_o the_o west_n and_o in_o the_o middle_n of_o both_o in_o the_o meridian_n semicircle_n 50_o degree_n distant_a from_o the_o second_o and_o as_o much_o from_o the_o three_o or_o otherwise_o 110_o degree_n remove_v from_o the_o first_o meridian_n draw_v by_o corvo_n shall_v be_v the_o great_a variation_n of_o the_o magnetical_a needle_n as_o it_o appear_v out_o of_o the_o table_n of_o variation_n in_o two_o place_n whereof_o one_o be_v in_o william_n island_n at_o nova_n zembla_n where_o the_o great_a northwe_n be_v find_v to_o be_v 33_o degree_n the_o other_o be_v distant_a 34_o dutch_n mile_n to_o the_o southeast_n from_o brandaon_n where_o the_o great_a variation_n be_v find_v to_o be_v 22_o degree_n and_o the_o longitude_n of_o each_o of_o those_o place_n be_v 110_o degree_n so_o as_o in_o the_o half_a of_o the_o second_o space_n which_o portion_n of_o the_o earth_n be_v contain_v between_o the_o meridian_n semicircle_n of_o 60_o degree_n longitude_n and_o of_o 110_o degr_n the_o northwe_n be_v every_o where_o increase_v in_o the_o other_o half_o decrease_v of_o these_o 160_o degree_n of_o longitude_n which_o arch_n want_v but_o 20_o degree_n of_o half_a the_o compass_n of_o the_o earth_n plancius_n have_v attain_v to_o the_o knowledge_n of_o the_o variation_n in_o such_o sort_n as_o now_o we_o have_v show_v as_o concern_v the_o other_o part_n of_o the_o world_n distant_a either_o towards_o the_o west_n from_o corvo_n or_o towards_o the_o east_n from_o cantan_n the_o experiment_n which_o hitherto_o the_o have_v get_v from_o the_o spaniard_n the_o englishman_n and_o our_o countryman_n the_o netherlander_n do_v not_o well_o agree_v neither_o be_v it_o any_o marvel_n see_v they_o have_v neither_o perfect_a knowledge_n nor_o needful_a instrument_n for_o that_o purpose_n yet_o he_o expect_v other_o experiment_n from_o the_o ship_n which_o have_v now_o be_v abroad_o 14_o month_n and_o more_o in_o the_o mean_a time_n we_o will_v bring_v forth_o that_o to_o public_a view_n which_o a_o man_n may_v without_o absurdity_n imagine_v if_o so_o be_v that_o the_o property_n of_o point_v due_a north_n take_v place_n not_o only_o in_o the_o three_o foresay_a semicircle_n which_o we_o conjecture_v to_o be_v meridian_n semicircle_n draw_v from_o the_o one_o pole_n to_o the_o other_o but_o in_o the_o whole_a circle_n also_o there_o shall_v then_o be_v six_o such_o semicircle_n upon_o the_o earth_n contain_v also_o between_o they_o six_o part_n or_o space_n of_o the_o upper_a face_n of_o the_o earth_n the_o first_o with_o the_o northea_n 60_o degree_n long_o the_o second_o with_o the_o northwe_v 100_o degr_n long_o the_o three_o with_o the_o northea_n 20_o degr_n long_o the_o four_o with_o the_o northwe_v 60_o degr_n long_o the_o five_o with_o the_o northea_n 100_o degr_n long_o the_o six_o with_o the_o northwe_v 20_o degr_n long_o that_o those_o thing_n which_o have_v be_v speak_v may_v by_o certain_a geometrical_a figure_n be_v more_o clear_o conceive_v let_v abcdefghiklm_n be_v the_o equinoctial_a of_o the_o earth_n let_v n_o be_v the_o poâ—e_n then_o let_v na_n be_v the_o half_a of_o the_o first_o meridian_n semicircle_n draw_v by_o corvo_n nc_n half_a of_o the_o second_o semicircle_n ne_fw-fr of_o the_o three_o ng_z of_o the_o four_o ni_fw-fr of_o the_o five_o nl_n of_o the_o six_o so_o as_o the_o arch_n ac_fw-la may_v make_v 60_o degree_n ce._n 100_o degr_n and_o so_o ae_n 160_o degr_n eglantine_n 20_o degr_n and_o so_o agnostus_n 180_o degr_n give_v 60._o degr·_fw-la and_o so_o ai_fw-fr 240._o il_fw-fr 100_o degree_n and_o so_o all_o 340_o degr_n la_fw-fr 20_o degr_n and_o so_o the_o whole_a circle_n 360_o degree_n then_o let_v the_o six_o point_n bdfhkm_v be_v the_o middle_n between_o ac_fw-la ce_fw-fr eglantine_n give_v il_fw-fr la._n which_o be_v suppose_v anc_n shall_v signify_v the_o first_o space_n with_o the_o northea_n anb_n the_o northea_n of_o the_o first_o space_n increase_v bnc_fw-la the_o northea_n of_o the_o first_o space_n decrease_v cne_n the_o second_o space_n with_o the_o northwe_n cnd_o the_o northwe_n 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true_o as_o i_o can_v to_o the_o very_o touch_v of_o the_o spherical_a superficies_n of_o the_o sea_n and_o then_o the_o plumbline_n fall_v 22_o minute_n from_o the_o same_o right_a angle_n forward_o towards_o the_o sea_n out_o of_o these_o observation_n the_o semidiameter_n of_o the_o earth_n be_v find_v thus_o let_v o_o be_v the_o centre_n of_o the_o earth_n suce_n the_o circumference_n of_o the_o sea_n b_o the_o place_n of_o observation_n bufo_fw-la a_o perpendicular_a line_n draw_v from_o thence_o to_o the_o centre_n of_o the_o earth_n bd_o the_o line_n of_o level_n or_o true_a horizon_n bc_n the_o distance_n from_o the_o place_n of_o observation_n to_o the_o mark_n in_o the_o sea_n 17,825_o foot_n the_o angle_n cbd_v find_v by_o observation_n 1._o degree_n 14_o minute_n bre_n a_o visual_a line_n from_o the_o place_n of_o observation_n touch_v the_o sea_n e_z the_o point_n of_o touch_v ebb_v the_o angle_n betwixt_o that_o visual_a line_n and_o the_o line_n of_o level_n or_o true_a 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which_o be_v so_o much_o that_o in_o comparison_n thereof_o the_o semidiameter_n of_o the_o whole_a earth_n have_v not_o any_o sensible_a proportion_n and_o therefore_o the_o fix_a star_n can_v have_v any_o sensible_a paralax_n but_o the_o sun_n by_o reason_n of_o his_o lesser_a distance_n from_o the_o earth_n have_v a_o sensible_a paralax_n in_o so_o much_o that_o in_o take_v his_o height_n we_o may_v for_o this_o cause_n only_o be_v deceive_v sometime_o about_o three_o minute_n by_o count_v it_o less_o than_o indeed_o it_o be_v and_o that_o especial_o in_o winter_n time_n when_o the_o sun_n draw_v near_o the_o horizon_n which_o although_o it_o be_v no_o great_a error_n yet_o it_o be_v not_o altogether_o to_o be_v neglect_v in_o the_o rule_n and_o ground_n of_o art_n which_o so_o much_o as_o be_v possible_a aught_o to_o be_v without_o error_n 15_o for_o this_o cause_n i_o have_v adjoin_v this_o table_n follow_v of_o the_o sun_n paralax_n the_o use_n whereof_o be_v this_o in_o the_o 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rule_n of_o the_o declination_n of_o the_o sun_n we_o be_v to_o note_v that_o the_o year_n which_o be_v the_o time_n of_o the_o sun_n motion_n from_o any_o point_n of_o the_o ecliptic_a till_o he_o return_v again_o to_o the_o same_o point_n consist_v not_o always_o of_o a_o equal_a number_n of_o day_n for_o beside_o 365_o day_n it_o contain_v almost_o one_o quarter_n of_o a_o day_n but_o the_o year_n which_o we_o common_o account_n contain_v 365_o day_n in_o common_a year_n and_o in_o leap_v year_n 366._o it_o be_v therefore_o needful_a to_o make_v four_o table_n of_o twelve_o month_n apiece_o whereof_o the_o three_o first_o contain_v 365_o day_n and_o the_o four_o 366_o and_o in_o such_o sort_n to_o distribute_v the_o declination_n of_o the_o sun_n among_o they_o that_o you_o may_v make_v account_n of_o the_o declination_n which_o be_v want_v to_o the_o sun_n at_o the_o end_n of_o 365_o day_n for_o lack_v of_o those_o six_o hour_n almost_o which_o the_o sun_n want_v to_o come_v unto_o the_o point_n from_o which_o it_o depart_v at_o the_o begin_n of_o the_o year_n and_o also_o of_o the_o declination_n which_o result_v in_o the_o four_o year_n because_o it_o consist_v of_o 366_o day_n at_o what_o time_n it_o come_v to_o recover_v that_o which_o in_o the_o three_o former_a year_n it_o have_v lose_v therefore_o to_o know_v at_o all_o time_n which_o of_o the_o four_o table_n we_o ought_v to_o make_v use_n of_o i_o will_v set_v down_o a_o rule_n whereby_o you_o may_v know_v whether_o the_o present_a year_n be_v leap_v year_n or_o whether_o it_o be_v the_o first_o second_o or_o three_o year_n after_o the_o leap_n year_n and_o the_o rule_n be_v this_o that_o take_v from_o the_o year_n of_o our_o lord_n which_o run_v in_o our_o common_a account_n the_o number_n of_o 1600_o if_o the_o remainder_n thereof_o be_v a_o even_a number_n and_o half_a of_o the_o remainder_n and_o even_a number_n than_o that_o year_n be_v leap_v year_n and_o if_o the_o remainder_n be_v even_o and_o 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defend_v towards_o the_o left_a hand_n right_o over_o against_o the_o say_a day_n and_o under_o the_o title_n of_o our_o month_n we_o shall_v find_v two_o number_n one_o of_o degree_n and_o the_o other_o of_o minute_n which_o be_v the_o declination_n of_o the_o sun_n that_o day_n towards_o that_o part_n of_o the_o world_n which_o the_o first_o rule_n of_o the_o sun_n do_v teach_v chap._n vi_o the_o equation_n of_o the_o sun_n declination_n they_o which_o sail_n in_o the_o month_n of_o june_n and_o december_n need_v not_o much_o to_o make_v any_o equation_n in_o the_o table_n of_o the_o sun_n declination_n because_o that_o in_o those_o month_n the_o declination_n of_o one_o day_n differ_v very_o little_a from_o the_o declination_n of_o another_o but_o at_o all_o other_o time_n of_o the_o year_n we_o ought_v to_o make_v some_o kind_n of_o equation_n to_o know_v precise_o our_o height_n or_o our_o distance_n from_o the_o equinoctial_a this_o equation_n be_v to_o be_v make_v after_o this_o manner_n you_o must_v subtract_v the_o declination_n of_o the_o sun_n for_o the_o present_a day_n from_o the_o declination_n of_o the_o day_n follow_v or_o contrariwise_o subtract_v always_o the_o less_o out_o oâ—_n the_o great_a and_o the_o difference_n or_o remainder_n shall_v be_v multiply_v by_o the_o league_n which_o our_o ship_n have_v sail_v from_o the_o meridian_n of_o london_n and_o the_o product_n of_o the_o multiplication_n must_v be_v divide_v by_o desire_v 7200_o league_n which_o be_v contain_v in_o the_o compass_n of_o the_o whole_a earth_n then_o if_o you_o have_v sail_v westward_o the_o quotient_n must_v be_v add_v to_o the_o declination_n of_o the_o sun_n that_o day_n if_o it_o be_v from_o the_o 11_o of_o march_n to_o the_o 12_o of_o june_n or_o from_o the_o 13_o of_o september_n to_o the_o 12_o of_o december_n or_o it_o must_v if_o the_o ship_n also_o have_v sail_v westward_o be_v subtract_v if_o you_o find_v it_o in_o any_o other_o time_n of_o the_o year_n except_o in_o the_o day_n of_o the_o equinoctium_n for_o then_o this_o difference_n be_v know_v by_o take_v the_o declination_n of_o the_o present_a day_n with_o that_o of_o the_o day_n follow_v but_o if_o you_o be_v to_o the_o eastward_o from_o the_o meridian_n of_o london_n you_o must_v do_v contrariwise_o subtract_v the_o say_a squation_n where_o before_o you_o add_v it_o in_o stead_n of_o the_o table_n of_o the_o sun_n declination_n here_o insert_v by_o roderigo_n samorano_n use_v the_o table_n before_o set_v down_o from_o the_o 174_o page_n to_o the_o 180_o page_n chap._n vii_o four_o example_n for_o the_o plain_a declaration_n of_o that_o which_o be_v say_v before_o a_o example_n of_o the_o second_o rule_n in_o the_o year_n 1608_o the_o 15_o of_o april_n suppose_v i_o be_v sail_v and_o take_v the_o height_n of_o the_o sun_n with_o my_o astrolabe_n at_o noon_n and_o find_v the_o height_n thereof_o to_o be_v just_a 90_o degree_n first_o therefore_o i_o take_v from_o 1608._o the_o number_n of_o 1600._o and_o their_z remain_z 8_o whicâ—_n remainder_n be_v a_o even_a number_n and_o four_o the_o half_a thereof_o be_v even_o also_o i_o say_v the_o year_n 1608_o be_v the_o leap_v year_n and_o so_o i_o go_v unto_o the_o four_o year_n in_o the_o table_n of_o the_o sun_n declination_n which_o be_v leap_v year_n and_o under_o the_o month_n of_o april_n over_o against_o the_o 15_o day_n i_o find_v 13_o degree_n and_o 25_o minute_n 41_o second_o i_o say_v therefore_o that_o i_o be_o distant_a from_o the_o equinoctial_a towards_o the_o north_n 13_o degree_n and_o 26_o minute_n almost_o because_o it_o be_v between_o the_o 11_o of_o march_n and_o the_o 13_o of_o september_n in_o which_o space_n fall_v the_o 15_o day_n of_o april_n the_o second_o example_n of_o the_o three_o rule_n in_o the_o year_n 1602_o upon_o the_o 13_o day_n of_o september_n admit_v i_o take_v the_o height_n of_o the_o sun_n and_o find_v it_o in_o my_o astrolabe_n to_o be_v 70_o degree_n and_o a_o half_a and_o that_o in_o the_o table_n of_o declination_n belong_v to_o the_o same_o year_n upon_o the_o foresay_a day_n of_o september_n i_o find_v that_o the_o sun_n have_v no_o declination_n but_o that_o it_o be_v under_o the_o very_a equinoctial_a line_n now_o because_o the_o degree_n of_o the_o height_n which_o the_o sun_n want_v of_o 90_o be_v 19_o and_o a_o half_a i_o say_v that_o i_o be_o so_o much_o distant_a from_o the_o equinoctial_a towards_o that_o part_n of_o the_o world_n unto_o which_o the_o shadow_n fall_v example_n of_o the_o four_o rule_n upon_o the_o 13_o of_o may_n 1609_o suppose_v i_o take_v the_o height_n of_o the_o sun_n at_o noon_n in_o my_o astrolabe_n and_o find_v it_o to_o be_v 85_o degree_n and_o three_o quarter_n now_o because_o 1609_o be_v a_o odd_a number_n i_o go_v back_o to_o the_o former_a year_n of_o 1608._o and_o i_o find_v according_a to_o the_o rule_n of_o leap_n year_n that_o the_o year_n 1608_o be_v leap_v year_n and_o hence_o i_o judge_v that_o the_o year_n 1609_o be_v the_o year_n next_o follow_v the_o leap_n year_n then_o i_o go_v to_o the_o table_n of_o declination_n belong_v to_o the_o first_o year_n after_o the_o leap_n year_n and_o under_o the_o month_n of_o may_n against_o the_o 13_o day_n the_o sun_n declination_n be_v find_v to_o be_v 20_o degree_n 41_o minute_n 15_o second_o and_o because_o that_o from_o the_o 11_o of_o march_n to_o the_o 13_o of_o september_n the_o sun_n keep_v his_o course_n to_o the_o northwards_o of_o the_o equinoctial_a have_v mark_v the_o shadow_n at_o midday_n i_o see_v that_o the_o low_a vain_a of_o my_o astrolabe_n look_v to_o the_o north_n of_o the_o compass_n and_o so_o i_o say_v that_o
that_o the_o rose_n or_o fly_n may_v play_v more_o nimble_o upon_o the_o pin_n this_o pin_n must_v be_v make_v of_o lattin_a with_o a_o very_a sharp_a point_n and_o be_v to_o be_v fasten_v upright_o in_o a_o round_a box_n of_o wood_n which_o must_v be_v of_o the_o fashion_n of_o a_o great_a cup-dish_n contain_v the_o rose_n within_o it_o be_v cover_v above_o with_o a_o clear_a round_a glass_n and_o the_o joint_n thereof_o must_v be_v stop_v with_o wax_n to_o the_o end_n that_o no_o wind_n may_v enter_v into_o the_o rose_n to_o disturb_v it_o there_o must_v be_v great_a care_n have_v that_o this_o rose_n with_o the_o wire_n place_v upon_o the_o pin_n may_v go_v nimble_o and_o may_v not_o swerve_v more_o to_o the_o one_o side_n then_o to_o the_o other_o but_o may_v stand_v even_o and_o level_a and_o when_o it_o incline_v towards_o either_o part_n you_o must_v put_v on_o the_o contrary_a part_n a_o little_a wax_n or_o a_o thin_a plate_n of_o lead_n fasten_v under_o the_o pasteboard_n which_o cover_v the_o wire_n this_o box_n wherein_o the_o rose_n play_v up_o and_o down_o hang_v within_o two_o hoop_n of_o lattin_a which_o be_v two_o round_a circle_n enclose_v one_o within_o another_o and_o distant_a asunder_o by_o the_o space_n of_o half_a a_o finger_n breadth_n with_o two_o nail_n of_o lattin_a which_o be_v diametral_o opposite_a and_o the_o box_n be_v fit_o place_v within_o these_o hoop_n you_o must_v make_v in_o the_o outward_a hoop_n two_o hole_n which_o must_v be_v distant_a from_o the_o foresay_a two_o nail_n a_o quarter_n of_o a_o circle_n both_o way_n and_o by_o these_o two_o hole_n must_v the_o outward_a hoop_n or_o circle_n be_v fasten_v within_o a_o square_a box_n or_o a_o round_a so_o as_o although_o that_o uttermost_a box_n be_v toss_v up_o and_o down_o every_o way_n with_o the_o motion_n of_o the_o ship_n yet_o always_o the_o superficies_n and_o glass_n of_o the_o inner_a box_n may_v lie_v level_a with_o the_o horizon_n and_o this_o be_v do_v with_o care_n the_o instrument_n which_o they_o call_v the_o sea-compasse_n be_v full_o finish_v the_o manner_n of_o use_v the_o same_o be_v when_o be_v place_v with_o the_o box_n in_o the_o midst_n of_o the_o poop_n of_o the_o ship_n where_o the_o bittacle_n stand_v in_o a_o right_a line_n which_o pass_v from_o the_o bolt-sprit_n by_o the_o midst_n of_o the_o main_a mast_n to_o the_o poop_n it_o serve_v continual_o to_o govern_v the_o ship_n by_o move_v of_o the_o rudder_n till_o the_o wind_n or_o the_o line_n of_o your_o compass_n towards_o which_o we_o desire_v to_o shape_v our_o course_n stand_v direct_o towards_o the_o prow_n or_o bolt-sprit_n of_o the_o ship_n they_o use_v also_o for_o the_o night_n to_o mark_v a_o point_n within_o the_o inner_a part_n of_o the_o inner_a box_n which_o in_o respect_n of_o the_o capitel_a of_o the_o compass_n may_v stand_v direct_o towards_o the_o prow_n of_o the_o ship_n and_o always_o in_o guide_v the_o ship_n you_o must_v take_v heed_n that_o the_o say_a point_n be_v continual_o join_v with_o the_o wind_n of_o the_o rose_n towards_o which_o you_o intend_v your_o course_n chap._n xviii_o how_o the_o variation_n of_o the_o compass_n may_v be_v find_v the_o mariner_n use_v to_o examine_v whether_o their_o compass_n north-easteth_a or_o south-westeth_a watch_v for_o that_o purpose_n when_o the_o former_a guard_n bear_v with_o the_o north_n star_n north-east_n and_o south-west_n take_v a_o little_a of_o the_o point_n of_o north_n and_o south_n and_o place_v their_o compass_n in_o a_o open_a place_n where_o the_o north_n star_n may_v be_v see_v if_o the_o flowerdeluis_fw-it of_o the_o rose_n look_v direct_o towards_o the_o star_n their_o compass_n vary_v nothing_o at_o all_o but_o if_o the_o star_n be_v to_o the_o north-east_n so_o much_o as_o it_o vary_v from_o the_o point_n of_o the_o flowerdeluis_fw-la so_o much_o the_o compass_n north-westeth_a and_o if_o it_o vary_v to_o the_o northwest_n of_o the_o compass_n how_o much_o the_o star_n swerve_v from_o the_o point_n of_o the_o flowerdeluis_fw-it so_o much_o the_o compass_n north-easteth_a and_o in_o regard_n of_o this_o variation_n of_o the_o compass_n there_o must_v always_o allowance_n be_v make_v in_o the_o course_n which_o be_v hold_v this_o manner_n of_o find_v out_o the_o variation_n i_o do_v account_n to_o be_v somewhat_o subject_a unto_o error_n but_o at_o land_n there_o be_v another_o more_o certain_a way_n by_o the_o meridian_n line_n which_o be_v to_o be_v take_v in_o manner_n follow_v the_o find_n of_o the_o meridian-line_n in_o a_o superficies_n which_o be_v plain_a and_o level_v every_o where_o and_o in_o a_o place_n where_o the_o sun_n shine_v at_o his_o rise_n and_o set_v you_o must_v draw_v certain_a circle_n upon_o one_o centre_n and_o have_v pitch_v a_o stile_n upright_o in_o the_o same_o centre_n the_o head_n whereof_o must_v be_v approve_v with_o a_o pair_n of_o compass_n to_o be_v equal_o distant_a from_o all_o part_n of_o one_o of_o those_o circle_n observe_v you_o in_o the_o morning_n two_o or_o three_o hour_n before_o noon_n when_o the_o point_n of_o the_o shadow_n of_o the_o stile_n touch_v the_o circumference_n of_o any_o of_o those_o circle_n and_o have_v make_v a_o mark_n in_o the_o touch_n take_v diligent_a heed_n in_o the_o afternoon_n also_o when_o the_o same_o point_n of_o the_o shadow_n turn_v about_o to_o touch_v in_o the_o same_o circle_n and_o make_v another_o mark_n in_o that_o second_o touch_n divide_v in_o the_o midst_n that_o part_n of_o the_o circle_n which_o be_v between_o those_o two_o mark_n then_o lay_v your_o ruler_n upon_o the_o point_n of_o the_o division_n and_o upon_o the_o centre_n of_o those_o circle_n draw_v a_o line_n which_o shall_v be_v your_o meridian_n and_o the_o true_a north_n and_o south_n rumb_n upon_o which_o set_v your_o compass_n and_o lay_v your_o ruler_n over_o the_o glass_n that_o it_o may_v pass_v along_o over_o the_o meridian_n and_o over_o the_o centre_n or_o capitel_a of_o the_o rose_n or_o fly_v either_o say_a ruler_n lie_v over_o the_o north_n and_o south_n of_o the_o compass_n and_o then_o be_v the_o compass_n without_o variation_n or_o the_o ruler_n decline_v towards_o the_o north-east_n or_o south-west_n and_o how_o much_o it_o decline_v that_o way_n so_o much_o the_o compass_n north-westeth_a or_o else_o it_o decline_v towards_o the_o northwest_n and_o then_o it_o north-easteth_a so_o much_o as_o the_o ruler_n decline_v that_o way_n but_o to_o know_v the_o variation_n of_o the_o compass_n both_o at_o land_n and_o sea_n we_o will_v deliver_v another_o far_o more_o easy_a and_o certain_a way_n when_o we_o come_v to_o entreat_v of_o the_o universal_a dial._n chap._n xix_o of_o the_o sea-chart_n the_o sea-chart_n be_v nothing_o else_o but_o a_o lively_a picture_n of_o the_o earth_n and_o water_n and_o it_o contain_v five_o notable_a thing_n which_o do_v concern_v as_o well_o the_o true_a make_n of_o the_o chart_n as_o also_o the_o enable_v of_o the_o mariner_n to_o know_v the_o way_n which_o he_o make_v the_o place_n where_o he_o be_v and_o the_o end_n of_o his_o journey_n the_o first_o be_v the_o lay_v out_o of_o the_o coast_n of_o the_o land_n which_o that_o it_o may_v be_v true_o do_v it_o be_v meet_v that_o every_o thing_n be_v set_v down_o in_o the_o chart_n in_o the_o same_o course_n distance_z and_o height_n that_o shall_v be_v find_v in_o navigation_n the_o second_o be_v that_o it_o contain_v not_o only_o the_o coast_n of_o the_o firm_a land_n but_o also_o all_o other_o particularity_n which_o do_v occur_v in_o sail_v as_o namely_o island_n iselet_n bank_n or_o bar_n shoalds_z rock_n and_o flat_n the_o three_o be_v the_o line_n which_o signify_v the_o 32_o wind_n by_o the_o help_n whereof_o we_o may_v see_v whether_o the_o part_n of_o the_o land_n be_v well_o lay_v out_o and_o in_o their_o true_a course_n one_o from_o another_o and_o of_o these_o wind_n the_o black_a be_v the_o eight_o principal_a which_o be_v call_v whole_a wind_n the_o green_a be_v half_a wind_n or_o half_o part_v wind_n and_o the_o red_a be_v the_o quarter_n of_o the_o wind_n you_o may_v know_v in_o your_o chart_n whether_o these_o wind_n be_v well_o draw_v if_o you_o try_v with_o your_o compass_n that_o all_o point_n of_o they_o be_v equal_o distant_a one_o from_o another_o and_o that_o all_o wind_n represent_v the_o same_o rumb_n be_v parallel_n as_o namely_o that_o one_o north-east_n and_o southwest_n rumb_n be_v parallel_n to_o another_o north-east_n and_o southwest_n rumb_n the_o four_o be_v the_o graduation_n in_o all_o part_n whereof_o it_o be_v meet_v that_o the_o degree_n south_n be_v equal_a one_o to_o another_o and_o that_o the_o part_n of_o the_o land_n do_v direct_o lie_v east_n
clavius_n his_o gross_a demonstration_n hereof_o 90_o a_o more_o exact_a demonst_a with_o the_o practice_n thereof_o 92_o the_o angle_n of_o dip_v for_o any_o height_n of_o the_o eye_n 96_o 3_o error_n by_o the_o parallax_n of_o the_o sun_n correct_v 96_o 4_o error_n in_o observe_v by_o the_o refraction_n of_o the_o sun_n or_o star_n correct_v 97_o chap._n 16·_a fault_n amend_v in_o the_o table_n of_o the_o sun_n declination_n common_o call_v the_o regiment_n of_o the_o sun_n 97_o chap._n 17._o of_o the_o table_n of_o declination_n of_o every_o minute_n of_o the_o ecliptic_a in_o degree_n min._n and_o sec._n make_v according_a to_o the_o great_a obliquity_n of_o the_o zodiac_n this_o present_a age_n which_o by_o exact_a observation_n be_v find_v to_o be_v 23_o degree_n 31_o min._n and_o a_o half_a 98_o a_o table_n of_o the_o declination_n of_o every_o minute_n of_o the_o ecliptic_a in_o degree_n min._n and_o sec._n 101_o chap._n 18._o the_o use_n of_o the_o former_a table_n of_o declination_n 116_o chap._n 19_o the_o description_n and_o use_n of_o a_o great_a quadrant_n for_o observation_n of_o the_o sun_n on_o land_n 120_o a_o table_n of_o observation_n of_o the_o sun_n meridian_n altitude_n take_v by_o the_o foresay_a quadrant_n in_o the_o year_n 1594_o 1595_o 1596_o 1597_o at_o london_n  _fw-fr chap._n 20._o the_o find_n of_o the_o sun_n apogeum_n and_o eccentricity_n out_o of_o the_o former_a observation_n 142_o to_o know_v the_o time_n of_o the_o sun_n come_v to_o any_o point_n of_o the_o ecliptic_a 142_o chap._n 21._o the_o middle_a motion_n of_o the_o sun_n correct_v out_o of_o the_o former_a observation_n 150_o a_o table_n of_o the_o sun_n middle_a motion_n 152_o chap._n 22._o a_o new_a theoric_n of_o the_o sun_n for_o the_o make_n of_o the_o table_n of_o the_o sun_n prosthaphaereses_n 154_o a_o table_n of_o the_o sun_n prosthaphaereses_n 157_o chap._n 23._o the_o make_n of_o the_o ephemerides_n of_o the_o sun_n 159_o chap._n 24._o how_o to_o reduce_v the_o apparent_a time_n to_o the_o equal_a time_n answer_v thereto_o 162_o a_o table_n of_o the_o aequation_n of_o natural_a day_n 162_o chap._n 25._o a_o table_n of_o aequation_n of_o the_o sun_n ephemerides_n to_o make_v they_o serve_v for_o many_o year_n 163_o ephemerides_n of_o the_o sun_n 164_o chap._n 26._o the_o use_n of_o these_o ephemerides_n 169_o chap._n 27._o the_o make_n of_o the_o table_n of_o the_o sun_n declination_n 170_o prosthaphaereses_n of_o the_o sun_n declination_n 172_o a_o table_n of_o the_o sun_n declination_n 173_o chap._n 28·_a the_o use_n of_o the_o former_a table_n of_o declination_n or_o regiment_n of_o the_o sun_n 181_o chap._n 29_o the_o declination_n of_o the_o principal_a fix_a star_n about_o the_o equinoctial_a correct_v by_o observation_n 183_o a_o table_n of_o fix_a star_n about_o the_o equinoctial_a 198_o chap._n 30._o the_o use_n of_o the_o former_a table_n 199_o chap._n 31._o the_o true_a distance_n of_o certain_a principal_a fix_a star_n from_o the_o north_n pole_n find_v by_o late_a observation_n 199_o chap._n 32._o to_o know_v at_o what_o time_n any_o of_o the_o foresay_a fix_a star_n come_v to_o the_o meridian_n for_o any_o day_n of_o the_o year_n 202_o a_o table_n of_o the_o sun_n right_a ascension_n in_o hour_n and_o minute_n for_o every_o day_n of_o the_o year_n 204_o chap._n 33._o by_o the_o former_a table_n of_o fix_a star_n and_o the_o sun_n right_a ascension_n to_o know_v the_o hour_n of_o the_o night_n at_o any_o time_n of_o the_o year_n 206_o chap._n 34._o of_o find_v the_o elevation_n of_o the_o pole_n by_o observation_n of_o the_o pole_n star_n and_o guard_n 207_o chap._n 35._o the_o description_n and_o part_n of_o the_o sea_n quadrant_n 208_o chap._n 36._o the_o description_n of_o the_o nocturnal_a or_o night_n dial_n 210_o chap._n 37._o the_o use_n of_o the_o sea_n quadrant_n first_o in_o observe_v the_o height_n of_o the_o sun_n look_v only_o to_o the_o horizon_n at_o sea_n 211_o chap._n 38._o how_o with_o this_o quadrant_n to_o observe_v the_o height_n of_o the_o sun_n with_o â—our_n back_o turn_v towards_o the_o sun_n 211_o chap._n 39_o how_o to_o observe_v with_o this_o quadrant_n the_o height_n of_o the_o sun_n or_o star_n look_v both_o to_o the_o sun_n or_o star_n and_o to_o the_o horizon_n 212_o chap_n 40._o how_o to_o find_v the_o height_n of_o the_o pole_n by_o observation_n of_o the_o polestar_n and_o guard_n without_o give_v or_o take_v any_o allowance_n or_o abatement_n at_o any_o time_n when_o the_o polestar_n the_o guard_n and_o horizon_n may_v be_v see_v 213_o to_o know_v the_o hour_n of_o the_o night_n by_o the_o nocturnal_a 213_o a_o answer_n to_o simon_n stevin_n show_v his_o erorr_v in_o blame_v i_o of_o error_n in_o my_o table_n of_o rumb_n 214_o the_o content_n of_o the_o treatise_n of_o the_o art_n of_o navigation_n the_o division_n of_o the_o whole_a art_n of_o navigation_n pag._n 1_o chap._n 1._o the_o definition_n of_o the_o sphere_n 2_o 2._o that_o the_o whole_a world_n be_v a_o sphere_n 2_o 3._o of_o the_o division_n of_o the_o sphere_n 2_o 4._o of_o the_o motion_n of_o the_o heaven_n 4_o 5._o of_o the_o figure_n of_o the_o heaven_n 4_o 6._o that_o the_o earth_n and_o water_n make_v one_o perfect_a globe_n 5_o 7._o that_o the_o earth_n be_v in_o the_o centre_n of_o the_o world_n 5_o 8._o the_o whole_a quantity_n of_o the_o earth_n 5_o 9_o of_o the_o equinoctial_a circle_n 6_o 10._o of_o the_o pole_n of_o the_o world_n 6_o 11._o of_o the_o ecliptic_a line_n 7_o 12._o of_o the_o declination_n of_o the_o sun_n 7_o 13._o of_o the_o colour_n 8_o 14._o of_o the_o meridian_n circle_n 8_o 15._o of_o the_o horizon_n 9_o 16._o of_o the_o 32_o wind_n 10_o 17._o of_o the_o two_o tropic_n 12_o 18._o of_o the_o parallel_n 13_o 19_o of_o the_o degree_n 13_o 20._o what_o be_v mean_v by_o longitude_n and_o latitude_n 14_o the_o second_o part_n of_o the_o art_n of_o navigation_n wherein_o be_v handle_v the_o practic_n part_n show_v the_o make_n and_o use_n of_o the_o principal_a instrument_n belong_v to_o this_o art_n chap._n 1._o the_o make_n of_o the_o astrolabe_n pag._n 15_o chap._n 2._o of_o the_o height_n of_o the_o sun_n pag._n 17_o 3._o of_o the_o shadow_n 18_o 4._o of_o the_o regiment_n and_o rule_n of_o the_o sun_n 19_o 5._o of_o the_o declination_n of_o the_o sun_n and_o of_o the_o table_n thereof_o 20_o how_o the_o declination_n of_o the_o sun_n may_v be_v find_v out_o 21_o 6._o the_o equation_n of_o the_o sun_n declination_n 22_o 7._o four_o example_n for_o the_o plain_a declaration_n of_o that_o which_o be_v say_v before_o 22_o 8._o another_o manner_n of_o account_v by_o the_o sun_n as_o they_o use_v in_o portugal_n 25_o 9_o how_o the_o height_n of_o the_o sun_n may_v be_v know_v in_o any_o place_n whatsoever_o without_o a_o astrolabe_n first_o know_v your_o distance_n from_o the_o equinoctial_a 25_o 10._o the_o rule_n or_o regiment_n of_o the_o north-star_n for_o the_o knowledge_n of_o the_o height_n of_o the_o pole_n 26_o 11._o the_o make_n of_o the_o crosse-staffe_n 27_o 12._o of_o the_o position_n of_o the_o north-star_n and_o the_o guard_n 28_o 13._o of_o the_o height_n of_o the_o star_n take_v with_o the_o crosse-staffe_n 30_o 14._o the_o regiment_n or_o rule_n of_o the_o north_n star_n 30_o 15._o other_o thing_n to_o be_v note_v in_o observe_v the_o height_n of_o the_o pole_n 32_o 16._o of_o the_o crosier_n 34_o 17._o of_o the_o sea-compasse_n 34_o 18._o how_o the_o variation_n of_o the_o compass_n may_v be_v find_v 37_o the_o find_v of_o the_o meridian_n line_n 37_o 19_o of_o the_o sea-chart_n 38_o 20._o of_o the_o point_n of_o imagination_n 41_o 21._o of_o the_o traverse_n or_o geometrical_a point_n 42_o 22._o of_o the_o amend_v of_o the_o point_n of_o imagination_n 42_o the_o amend_v of_o the_o point_n of_o imagination_n by_o the_o traverse_n point_n 43_o the_o amendment_n of_o the_o point_n of_o imagination_n by_o north_n south_n east_n west_n 43_o 23._o the_o point_n by_o imagination_n and_o the_o height_n 44_o 24._o what_o it_o be_v to_o increase_v or_o diminish_v in_o height_n 45_o 25._o how_o you_o may_v cast_v a_o traverse_n point_n without_o compass_n 46_o 26._o of_o another_o kind_n of_o cast_v a_o point_n by_o traverse_n 46_o 27._o of_o the_o league_n which_o in_o navigation_n answer_v to_o each_o degree_n of_o latitude_n in_o every_o rumb_n 47_o chap._n 28._o how_o you_o may_v come_v to_o know_v the_o longitude_n or_o the_o course_n from_o east_n to_o west_n pag_n 48_o 29._o how_o you_o may_v set_v down_o in_o your_o chart_n a_o new_a land_n never_o before_o discover_v 50_o 30._o see_v two_o know_a point_n or_o cape_n of_o land_n as_o you_o sail_v along_o
such_o as_o may_v easy_o be_v know_v by_o other_o circumstance_n whereof_o we_o shall_v speak_v hereafter_o and_o although_o the_o mariner_n may_v find_v amsterdam_n otherwise_o as_o by_o the_o place_n near_o adjoin_v by_o conjecture_n by_o the_o sounding_n by_o the_o sand_n and_o many_o other_o sign_n without_o any_o regard_n of_o the_o variation_n yet_o i_o think_v good_a to_o propound_v a_o know_a place_n for_o example_n that_o the_o universality_n of_o the_o same_o rule_n may_v be_v know_v in_o long_a navigation_n wherein_o no_o land_n appear_v as_o for_o example_n if_o the_o master_n of_o a_o ship_n desire_v to_o sail_v from_o hence_o to_o cape_n s._n augustine_n in_o brasile_n and_o know_v that_o the_o variation_n there_o as_o it_o be_v report_v be_v 3_o deg_n and_o 10_o min._n and_o the_o latitude_n 8_o deg_n 30_o min._n towards_o the_o south_n when_o in_o go_v thitherwards_o he_o shall_v come_v to_o that_o latitude_n and_o variation_n he_o shall_v then_o know_v that_o he_o be_v come_v to_o the_o cape_n of_o s._n augustine_n and_o although_o he_o think_v otherwise_o by_o his_o conjecture_n and_o reckon_v yet_o not_o regard_v that_o conjecture_n he_o shall_v confess_v himself_o either_o to_o have_v guess_v ill_o or_o else_o to_o have_v be_v deceive_v with_o some_o eastern_a or_o western_a current_n for_o reason_n will_v not_o suffer_v we_o to_o think_v that_o that_o variation_n which_o before_o be_v find_v at_o the_o cape_n of_o s._n augustine_n be_v change_v that_o he_o shall_v need_v to_o yield_v himself_o to_o that_o opinion_n so_o also_o who_o will_v not_o esteem_v it_o to_o be_v absurd_a and_o altogether_o against_o reason_n that_o he_o which_o know_v very_o well_o that_o he_o find_v at_o sea_n another_o variation_n then_o that_o which_o be_v at_o cape_n s._n augustine_n of_o 3_o degr_n 10_o min._n shall_v notwithstanding_o neglect_v the_o experience_n of_o the_o variation_n and_o rest_v upon_o conjecture_n only_o affirm_v that_o he_o be_v near_o the_o cape_n s_o augustine_n because_o he_o speak_v contrary_a thing_n when_o he_o say_v that_o the_o variation_n there_o be_v 3_o degree_n 10_o minute_n and_o again_o avouch_v that_o it_o be_v not_o neither_o be_v this_o unworthy_a the_o mark_v which_o have_v often_o happen_v that_o he_o which_o shall_v have_v sail_v to_o the_o isle_n of_o s._n helena_n when_o he_o be_v come_v to_o the_o latitude_n of_o the_o same_o island_n and_o see_v not_o there_o the_o island_n and_o be_v also_o ignorant_a whether_o he_o be_v to_o the_o eastward_n or_o westward_o from_o the_o same_o by_o conjecture_n seek_v that_o place_n towards_o the_o east_n which_o indeed_o lie_v from_o he_o towards_o the_o west_n and_o so_o the_o further_o he_o sail_v the_o further_a always_o he_o go_v from_o that_o island_n now_o i_o leave_v it_o to_o thy_o consideration_n if_o he_o whosoever_o he_o be_v that_o be_v master_n of_o that_o ship_n which_o diligent_o seek_v that_o island_n for_o the_o space_n of_o certain_a week_n tack_v about_o also_o divers_a time_n before_o he_o can_v find_v any_o place_n to_o abide_v in_o if_o he_o i_o say_v have_v not_o be_v ignorant_a what_o the_o variation_n of_o the_o compass_n be_v at_o s._n helen_n island_n and_o what_o the_o use_n of_o the_o variation_n be_v at_o sea_n and_o how_o to_o find_v it_o out_o i_o leave_v it_o i_o say_v to_o thy_o consideration_n whether_o he_o will_v willing_o have_v float_v doubtful_o to_o and_o fro_o follow_v a_o great_a variation_n know_v assure_o that_o the_o variation_n there_o be_v lesser_a hereby_o it_o may_v easy_o be_v conceive_v how_o great_a use_n there_o be_v of_o the_o variation_n when_o they_o especial_o which_o in_o sail_v follow_v the_o line_n show_v the_o course_n which_o line_n because_o now_o they_o have_v find_v this_o name_n among_o the_o portugal_n we_o call_v rumb_n the_o ignorance_n of_o which_o line_n can_v hardly_o be_v permit_v in_o they_o which_o attempt_v long_a voyage_n upon_o the_o huge_a ocean_n ought_v every_v where_o to_o know_v certain_o the_o place_n of_o the_o true_a north_n which_o be_v common_o find_v by_o the_o knowledge_n of_o the_o variation_n if_o any_o man_n likewise_o consider_v the_o uncertain_a situation_n of_o those_o place_n which_o be_v set_v into_o globe_n or_o sea_n chart_n by_o the_o mariner_n relation_n which_o uncertainty_n take_v his_o beginning_n from_o hence_o because_o every_o man_n think_v that_o to_o be_v the_o true_a place_n of_o the_o north_n which_o be_v show_v by_o the_o flower_n deluce_a as_o they_o call_v it_o of_o the_o compass_n which_o they_o bring_v with_o they_o from_o home_n which_o thing_n also_o bring_v no_o less_o doubtfulness_n to_o the_o mariner_n themselves_o he_o will_v think_v and_o that_o not_o without_o cause_n that_o the_o observation_n of_o the_o variation_n be_v a_o very_a needful_a thing_n even_o for_o this_o cause_n also_o because_o it_o be_v a_o easy_a matter_n to_o place_v the_o flowerdeluce_a in_o such_o sort_n that_o it_o shall_v not_o miss_v any_o thing_n in_o show_v the_o true_a north_n part_n of_o the_o world_n to_o wit_n if_o one_o move_v the_o magnetical_a needle_n or_o point_n of_o the_o wire_n in_o the_o compass_n from_o the_o flowerdeluce_a so_o much_o as_o need_n shall_v require_v these_o thing_n therefore_o have_v be_v observe_v and_o grant_v and_o this_o especial_o that_o the_o variation_n alter_v according_a to_o the_o variety_n of_o country_n as_o by_o the_o common_a testimony_n of_o all_o man_n it_o be_v prove_v it_o be_v in_o some_o sort_n manifest_a that_o they_o which_o deny_v this_o vary_a property_n to_o be_v of_o very_o great_a use_n for_o navigation_n be_v either_o wise_a than_o the_o common_a sort_n and_o have_v some_o hide_a secret_n which_o be_v not_o reveal_v to_o every_o man_n or_o else_o be_v notable_a fool_n and_o mad_a man_n therefore_o when_o the_o most_o excellent_a prince_n maurice_n have_v thorough_o consider_v hereof_o think_v that_o it_o may_v assure_o be_v bring_v to_o that_o pass_n that_o mariner_n may_v receive_v great_a profit_n by_o this_o mean_n he_o the_o high_a admiral_n give_v commandment_n to_o all_o the_o company_n of_o the_o admiralty_n adjoin_v also_o thereto_o a_o certain_a introduction_n that_o they_o shall_v do_v their_o best_a indevor_n that_o all_o master_n of_o ship_n shall_v provide_v themselves_o for_o this_o purpose_n that_o be_v to_o say_v that_o to_o what_o place_n soever_o they_o shall_v come_v they_o shall_v seek_v out_o the_o declination_n of_o the_o magnetical_a needle_n from_o the_o north_n or_o the_o variation_n of_o the_o compass_n not_o light_o run_v over_o the_o matter_n as_o it_o be_v by_o the_o way_n and_o for_o fashion_n sake_n only_o but_o with_o great_a carefulness_n and_o diligence_n take_v with_o they_o meet_v and_o needful_a instrument_n for_o that_o purpose_n and_o that_o after_o their_o return_n into_o their_o own_o country_n they_o shall_v true_o and_o faithful_o certify_v their_o company_n or_o brotherhood_n of_o the_o admiralty_n of_o that_o matter_n that_o the_o self_n same_o experiment_n be_v by_o they_o bring_v into_o good_a order_n may_v be_v publish_v for_o the_o common_a good_a but_o that_o every_o man_n may_v more_o perfect_o learn_v the_o circumstance_n of_o this_o matter_n i_o think_v it_o meet_v here_o to_o set_v down_o certain_a principle_n of_o this_o thing_n which_o be_v yet_o notwithstanding_o to_o be_v further_o search_v into_o by_o more_o experiment_n in_o which_o shall_v be_v show_v a_o general_a view_n or_o table_n of_o those_o place_n who_o variation_n have_v already_o be_v observe_v by_o the_o learned_a geographer_n petrus_n plancius_n with_o continual_a labour_n and_o not_o without_o great_a charge_n from_o divers_a corner_n of_o the_o earth_n near_o and_o far_o off_o who_o for_o honour_n sake_n i_o therefore_o name_n that_o as_o well_o they_o that_o shall_v hereafter_o find_v out_o place_n or_o haven_n after_o this_o manner_n as_o also_o they_o that_o have_v already_o find_v may_v know_v that_o they_o be_v bind_v to_o give_v thanks_o to_o plancius_n alone_o as_o to_o he_o that_o be_v the_o chief_a cause_n of_o this_o observation_n but_o that_o table_n or_o general_a view_n of_o variation_n whereof_o there_o shall_v hereafter_o follow_v a_o plain_a declaration_n be_v this_o a_o table_n or_o view_n of_o variation_n the_o northea_n or_o the_o east_n variation_n of_o the_o first_o part_n or_o space_n towards_o the_o north._n increase_v  _fw-fr northea_v latitude_n longitude_n  _fw-fr deg._n m_o deg._n mi_fw-mi deg._n mi._n in_o the_o flemish_a island_n corvo_n 0_o 0_o n_o 37_o 0_o 0_o 0_o in_o the_o flemish_a island_n saint_n mary_n 3_o 20_o n_o 37_o 0_o 8_o 20_o near_o the_o island_n maio_n 4_o 55_o n_o 15_o 0_o 11_o 20_o at_o palma_n one_o of_o the_o canary_n land_n 6_o 10_o n_o 28_o 30_o 16_o 20_o at_o